Resonant activation of population extinctions
Name
PhysRevE.96.042411.pdf
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519.9 KB
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Adobe PDF
Checksum (MD5)
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Author(s)
Spalding, Christopher
Doering, Charles R.
Flierl, Glenn Richard
Date Issued
October 2017
Journal
Physical Review E
Publisher
American Physical Society
Citation
Spalding, Christopher et al. "Resonant activation of population extinctions." Physical Review E 96, 4 (October 2017): 042411 © 2017 American Physical Society
Version
Final published version
Abstract
Understanding the mechanisms governing population extinctions is of key importance to many problems in ecology and evolution. Stochastic factors are known to play a central role in extinction, but the interactions between a population's demographic stochasticity and environmental noise remain poorly understood. Here we model environmental forcing as a stochastic fluctuation between two states, one with a higher death rate than the other. We find that, in general, there exists a rate of fluctuations that minimizes the mean time to extinction, a phenomenon previously dubbed “resonant activation.” We develop a heuristic description of the phenomenon, together with a criterion for the existence of resonant activation. Specifically, the minimum extinction time arises as a result of the system approaching a scenario wherein the severity of rare events is balanced by the time interval between them. We discuss our findings within the context of more general forms of environmental noise and suggest potential applications to evolutionary models.
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.96.042411
